His practice started at 10:00 am
First subtract y from both sides
(-5x=-2-y)
Add two to both sides
(-5x+2=-y)
Y cant be negative so divide by -1 to both sides
(5x-2=y)
Answer:
1.5
Step-by-step explanation:
a : b = 1 : 12/5
Area of a circle = πr²
Where : = π = pi = 22/7
R = radius
Let the radius of circle a = 1
Area of circle A = 1π
Radius of circle A = square root of 12/5 = 1.5
The circumference of a circle = 2nr
n = 3.14
circumference of circle A = 2 x n x 1 = 2n
circumference of circle B = 2 x n x 1.5 = 3n
ratio of circumference = 3n / 2n = 1.5
Divide 1017,36 by pi and by the height (the inverse of the formula for the volume):
1017,36/3,14 = 324
324/9 = 36
The system has one solution
Step-by-step explanation:
Let us revise the type of the solutions of a system of equations
- One solution if the coefficients of x or/and y are different in the simplest form of the two equations
- Infinite many solutions if the coefficients of x , y and the numerical terms are equal in the simplest form of the two equations
- No solution if the coefficients of x and y are equal and the numerical terms are different in the simplest form of the two equations
The system of equations is:
y = 2x - 12 ⇒ (1)
y = 3x + 12 ⇒ (2)
∵ The equations are in its simplest form
∵ The coefficients of x in the two equations are different
- That is the 1st case above
∴ The system has one solution
Let us prove that by solving the system
To solve the system of equations equate (1) and (2) to find x
∵ 3x + 12 = 2x - 12
- Subtract 2x from both sides
∴ x + 12 = -12
- Subtract -12 from both sides
∴ x = -24
- Substitute the value of x in equation (1) or (2) to find y
∵ y = 3(-24) + 12
∴ y = -72 + 12
∴ y = -60
∴ The solution of the system is (-24 , -60)
The system has one solution
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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